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On δ-derivations of \mathfrak{saff}_{n+1}
Abstract
We study δ-derivations of the finite-dimensional perfect Lie algebra saffn+1=sln+1(ℂ)ltimesℂn+1, where ℂn+1 is the natural sln+1(ℂ)-module. For n>1 and δ≠1, we prove that every nonzero δ-derivation occurs at δ=1/2 and is a scalar multiple of the identity. For n=1, we explicitly describe the four-dimensional space of (−2)-derivations.
Related
BibTeX
@misc{nuratdinov2026δderivations,
title = {{On δ-derivations of \mathfraksaff_n+1}},
author = {Kazbek Nuratdinov and Rustamjon G'aybullaev},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.37027},
eprint = {2610.37027},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.37027},
}
RIS
TY - UNPB
TI - On δ-derivations of \mathfrak{saff}_{n+1}
AU - Kazbek Nuratdinov
AU - Rustamjon G'aybullaev
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.37027
UR - https://arxiv.org/abs/2610.37027
AB - We study δ-derivations of the finite-dimensional perfect Lie algebra saff_n+1=sl_n+1(ℂ)ltimesℂ^n+1, where ℂ^n+1 is the natural sl_n+1(ℂ)-module. For n>1 and δ≠1, we prove that every nonzero δ-derivation occurs at δ=1/2 and is a scalar multiple of the identity. For n=1, we explicitly describe the four-dimensional space of (−2)-derivations.
ER -